Computer Center of the Russian Academy of Sciences, Moscow
Table of content:
1. Introduction. Cognitive Visaulization of Number-Theoretical Abstractions
2. Different formulations of Continuum Hypothesis
3. Different Representations of the Real Numbers x Î [ 0, 1 ]
4. Cognitive Visualization of Continuum Problem
5. New Kind of Transfinite Integers
6. Some Mirror-Like Proofs of Mirror-Like Theorems
7. "Periodical system" of Hyper-Real Numbers
8. Mathematical Sciences Classification Based on the "Periodical System" of Hyper-Real Numbers
9. Main Conclusions. Cognitive Visualization Of Leibniz's Monadology
10. References